By V. V. Sharko

This monograph covers in a unified demeanour new effects on delicate capabilities on manifolds. an immense subject is Morse and Bott capabilities with a minimum variety of singularities on manifolds of size more than 5. Sharko computes obstructions to deformation of 1 Morse functionality into one other on a easily attached manifold. moreover, a mode is constructed for developing minimum chain complexes and homotopical platforms within the experience of Whitehead. This ends up in stipulations below which Morse services on non-simply-connected manifolds exist. Sharko additionally describes new homotopical invariants of manifolds, that are used to considerably increase the Morse inequalities. The stipulations ensuring the lifestyles of minimum around Morse capabilities are mentioned.

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